Premium
Modeling, identification, and optimization of violin bridges
Author(s) -
Marschke Sandra,
Ring Wolfgang,
Wohlmuth Barbara
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800405
Subject(s) - violin , orthotropic material , bridge (graph theory) , eigenvalues and eigenvectors , computer science , elasticity (physics) , inverse problem , linear elasticity , inverse , identification (biology) , structural engineering , finite element method , engineering , mathematics , acoustics , mathematical analysis , geometry , physics , medicine , botany , quantum mechanics , biology , thermodynamics
We present the derivation and implementation of a mathematical model for the linear elastic structure of a violin bridge. In favour of getting highly accurate simulation results, special effort has been taken to reconstruct the computational geometry from a µ‐CT scan. After laying out our approach for this in detail, we also present first vibroacoustical analysis like solving the eigenvalue problem of elasticity for the orthotropic material law of the wooden bridge and simulation of its dynamical behaviour. We then conclude with explaining our ongoing work of identifiying material paramters by an inverse problem. With this project we are aiming to optimize a violin bridge regarding its material parameters and its shape.